 ... upon the sum of two straight lines is equivalent to the sum of the squares described on the two lines plus twice their rectangle. Note. By the "rectangle of two lines" is here meant the rectangle of which the two lines are the adjacent sides.  A Text-book of Geometry - Page 191by George Albert Wentworth - 1889 - 242 pagesFull view - About this book
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...algebraical formula, (a + by = a1 + Zab + b1. . PROPOSITION IX. — THEOREM. 233. The square described on, the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by the lines. Let AB and BC... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...equivalent to the algebraical formula, LF G K H PROPOSITION IX.— THEOREM. 233. The squa/re described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by the lines. Let AB and BC... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...Scholium. algebraical formula, = «2+ 2 LF GI PROPOSITION IX. — THEOREM. 233. The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two fines, diminished by twice the rectangle contained by the lines. Let AB and BC... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...demonstrate the theorem geometrically, by the aid of this diagram. 404. Theorem. — The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by those lines. This is a consequence... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...algebraical formula, (a + by = a2 + 2 ab + b*. PROPOSITION IX. — THEOREM. 233. The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by the lines. Let AB and BC... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...demonstrate the theorem geometrically, by the aid of this diagram. 404. Theorem — The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by those lines. This is a consequence... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...of which the two lines are the adjacent sides. 221. Prove, geometrically, that the square described upon the difference of two straight lines is equivalent to the sum of the squares described on the two lines minus twice their rectangle. 222. Prove, geometrically, that the rectangle... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...which the two lines are the adjacent sides. 221. Prove, geometrically, that the square f described upon the difference of two straight lines is equivalent to the sum of the squares described on the two lines minus twice their rectangle. 222. Prove, geometrically, that the rectangle... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...demonstrate the theorem geometrically, by the aid of this diagram. 404. Theorem — The square described on the difference of two straight lines is equivalent to the sum of the squares described on the two lines, diminished by twice the rectangle contained by those lines. This is a consequence... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...lines are the adjacent sides. 221. Prove, geometrically, that the square described upon the differcncj of two straight lines is equivalent to the sum of the squares described on the two lines minus twice their rectangle. 222. Prove, geometrically, that the rectangle... | |
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